Find the equations of the lines which pass through the point (4,5) and makeequal angles with the lines 5x -12y + 6 = 0 and 3x - 4y - 7 = 0
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A line is such that its segment between the lines 5x - y + 4 = 0and3x + 4y - 4 = 0is bisected at the point (1,5)obtain its equation.
The line ⊥ to the line segment joining the points (1, 0) and (2,3)divides it inthe ratio 1: n find the equation of the line.
Find the equation of the line intersecting the x -axis at a distance of 3 unit tothe left of origin with slope -2.
Find the Angle between the x -axis and the line joining the points (3,-1) and(4,-2)
Find the equation of a line whose perpendicular distance from the origin is 5
units and angle between the positive direction of the x -axis and the
perpendicular is 300.
Find the distance of the point (2,3)from the line 12x -5y = 2
A person standing at the junction (crossing) of two straight paths representedby the equations 2x -3y + 4 = 0and 3x + 4y -5 = 0wants to reach the pathwhose equation is 6x - 7y +8 = 0in the least time. Find equation of the paththat he should follow.
Assuming that straight lines work as the plane mirror for a point, find theimage of the point (1,2) in the line x -3y + 4 = 0
The Fahrenheit temperature F and absolute temperature K satisfy a linearequation. Given that K=273 when F=32 and that K= 373 when F=212 ExpressK in terms of F and find the value of F when K=0
Point R(h, k )divides a line segment between the axes in the ratio 1:2. Findequation of the line.
The slope of a line is double of the slope of another line. If tangent of the anglebetween them is13, find the slopes of the lines.
Find the equation of the line through the intersection of 3x - 4y +1 = 05x + y -1 = 0which cuts off equal intercepts on the axes.
Find the value of K , given that the distance of the point (4,1) from the line3x - 4y + K = 0 is 4 units.
Find the value of K so that the line 2x + ky -9 = 0may be parallel to3x - 4y + 7 = 0
Using slopes, find the value of x for which the points (x,-1), (2,1) and(4,5) are collinear.
Find the angle between the x -axis and the line joining the points (3,-1) and(4,-2)
Find equation of the line mid way between the parallel lines 9x + 6y - 7 = 0 and3x + 2y + 6 = 0
Find the equations of the lines, which cut off intercepts on the axes whose sum andproduct are 1 and -6 respectively.
The line through the points (h,3) and (4,1) intersects the line 7x -9y -19 = 0atright angle. Find the value of h.
The owner of a milk store finds that, he can sell 980 liters of milk each week at 14liter and 1220 liter of milk each week at Rs 16 liter. Assuming a linear relationshipbetween selling price and demand how many liters could he sell weekly at Rs 17liter?
Without using the Pythagoras theorem show that the points (4, 4), (3,5) and(-1,-1)are the vertices of a right angled
Find the value of x for which the points (x,-1), (2,1) and (4,5) are collinear.
Find the distance of the point (4,1) from the line 3x - 4y -9 = 0
Determine x so that the inclination of the line containing the points (x,-3) and(2,5) is 135.
Find the slope of the line, which makes an angle of 300 with the positive direction
of y -axis measured anticlockwise.
Find the distance between P(x1y1 ) and Q(x2 , y2 )when PQ is parallel to the y -axis.
Find equation of the line passing through the point (2, 2) and cutting offintercepts on the axes whose sum is 9
Find the slope of a line, which passes through the origin, and the midpoint ofthe line segment joining the point p (0,-4) and Q(8,0)
If 3x -by + 2 = 0 and 9x + 3y + a = 0 represent the same straight line, find thevalues of a and b.
Find the equation of a straight line parallel to y -axis and passing through thepoint (4,-2)
Find the distance between the parallel lines3x - 4y + 7 = 0 and 3x - 4y + 5 = 0
Equation of a line is 3x - 4y +10 = 0 find its slope.
Find the equation of the line, which makes intercepts -3 and 2 on the x and y -axis respectively.
Find the values of k for the line (k - 3) x - (4 - k2 ) y + k2 - 7k + 6 = 0
(a). Parallel to the x -axis (b). Parallel to y -axis (c).Passing through the origin
By using area of D. Show that the points (a,b + c), (b, c + a) and (c, a + b) arecollinear.
Find the equation to the straight line which passes through the point (3,4) andhas intercept on the axes equal in magnitude but opposite in sign.
Find the value of p so that the three lines 3x + y - 2 = 0, px + 2y -3 = 0 and2x - y -3 = 0may intersect at one point.
Find the equation of the line that has y-intercept 4 and is ⊥ to the liney = 3x - 2
Find the measure of the angle between the lines x + y + 7 = 0 and x - y +1= 0
Write the equation of the line through the points (1,-1) and (3,5)
Find the slope of the lines passing through the point (3,-2) and (-1,4)
Consider the given population and year graph. Find the slope of the line AB and using it, find what will be the population in the year 2010?
If three point (h, 0), (a, b) and (0, k) lie on a line, show that.
A line passes through. If slope of the line is m, show that.
The slope of a line is double of the slope of another line. If tangent of the angle between them is, find the slopes of he lines.
Find the angle between the x-axis and the line joining the points (3, -1) and (4, -2).
Without using distance formula, show that points (-2, -1), (4, 0), (3, 3) and
(-3, 2) are vertices of a parallelogram.
Find the value of x for which the points (x, -1), (2, 1) and (4, 5) are collinear.
Find the slope of the line, which makes an angle of 30° with the positive direction of y-axis measured anticlockwise.
Without using the Pythagoras theorem, show that the points (4, 4), (3, 5) and (-1, -1) are the vertices of a right angled triangle.
Find the slope of a line, which passes through the origin, and the mid-point of
the line segment joining the points P (0, -4) and B (8, 0).
Find a point on the x-axis, which is equidistant from the points (7, 6) and (3, 4).
Find the distance between and when: (i) PQ is parallel to the y-axis, (ii) PQ is parallel to thex-axis.
The base of an equilateral triangle with side 2a lies along they y-axis such that the mid point of the base is at the origin. Find vertices of the triangle.
Draw a quadrilateral in the Cartesian plane, whose vertices are (-4, 5), (0, 7), (5, -5) and (-4, -2). Also, find its area.